MODEL OF FAILURE IN COMPONENTS,
JET PROPULSION LAB CALIF INST OF TECH PASADENA
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The theory of failure is fundamental in understanding the reliability of complex systems. This paper is a review of some aspects of the theory of failure of particular interest to statisticians. There are two approaches available in this theory the phenomenological and the microscopic an example of the letter approach is the dislocation theory of fatigue wherein molecular and crystal mechanisms of this kind of failure are analyzed, while an example of the former approach is a statistical distribution curve which is fitted to failure probability vs time of light bulbs. Treated are models of failure leading to three frequency functions of failure the normal, the logarithmic-normal, and the exponential. In each instance these three classes are treated from both the phenomenological and the microscopic aspect. In conclusion, a problem of particular interest to statisticians is presented which arises in failure theory.
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems